The results of a series of surveys revealed a population with a mean of 4.73 and a standard deviation of 0.865. If each survey has a sample size of 200, which value falls within the interval where 95% of the sample means occur? A. 4.88 B. 4.63 C. 4.91 D. 4.55
Answers
Answer:
4.63
Please give me brainliest, I really need it.
The value of 4.63 falls within the interval (4.66, 4.791) where 95% of the sample means occur option (B) is correct.
What is a confidence interval for population standard deviation?It is defined as the sampling distribution following an approximately normal distribution for known standard deviation.
The formula for finding the confidence interval for population standard deviation as follows:
[tex]\rm s\sqrt{\dfrac{n-1}{\chi^2_{\alpha/2, \ n-1}}} < \sigma < s\sqrt{\dfrac{n-1}{\chi^2_{1-\alpha/2, \ n-1}}}[/tex]
Where s is the standard deviation.
n is the sample size.
[tex]\chi^2_{\alpha/2, \ n-1} and \chi^2_{1-\alpha/2, \ n-1}[/tex] are the constant based on the Chi-Square distribution table.
α is the significance level.
σ is the confidence interval for population standard deviation.
Calculating the confidence interval for population standard deviation:
We know significance level = 1 - confidence level
It is given that:
Mean of the population x = 4.73
Standard deviation s = 0.865
Sample size n = 200
The interval where 95% of the sample means occur:
Lower limit = 4.73 - 0.865/√200
Lower limit = 4.66
Upper limit = 4.73 + 0.865/√200
Upper limit = 4.791
The interval = (4.66, 4.791)
Thus, the value of 4.63 falls within the interval (4.66, 4.791) where 95% of the sample means occur option (B) is correct.
Learn more about the confidence interval here:
brainly.com/question/6654139
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Related Questions
If m∠T = (2x + 85) °, m∠V = (5x + 29) °, and the sum of the measures of the angles is 93 ° , find the measure of each angle.
Answers
Answer: 79 and 14
X would be -3 because (2 x -3 + 85) is 79 and doing it for (5x + 29) would get 14.
Write a related function for - 6x + 8x - 5 = 3.
pls just explain and show your work if you can and ill give brainlest and 5 star
Answers
Answer:
x=4
Step-by-step explanation:
-6x+8x=2x
5+3=8 (when you move a number to the other side of an equals sign, it changes its value)
2x=8
2x/2 and 8/2
x=4
Answer:
X=4
Step-by-step explanation:
Simplify
(3x^2y^3/z^3)^3
Answers
Answer:
27x^6 y^9
z^9
Step-by-step explanation:
That should be the answer,if not...sorry!:)
Calculate the missing angle measure of each triangle on the left butterfly wing. Write the angle measure inside the angle. The right butterfly wing is a reflection of the left butterfly wing and corresponding angles are congruent.
Answers
Answer:
See attached
The angle measures added.
One side is colored for you, you can do same for the other side
csc(x) = 2
solve this
Answers
Answer:
mathpapa.com
Step-by-step explanation:
The radius of the base of a metallic rod is 2 centimeters, and its height is 15 centimeters. What is the volume of this cylinder?
A.60 π cm^3
B.50 π cm^3
C.27 π cm3
D.36π cm^3
Answers
Zak ears a fixed salary of $3,100 per month plus 2.65%
commission on the amount of his sales at a men's clothing
store. What would Zak earn this month if he sold $9,000
in clothing?
Answers
Answer:
$3100 base
9000 x .0265= 238.50 in commissions.
total of 3100+238.50= $3338.50
A loan of$8000 was repaid in 24 equal monthly installments of $400 . The rate of interest on the loan was
Answers
Answer:
1%
Step-by-step explanation:
24(400) = 9600 = total amt paid
9600 - 8000 = 1600 = amt of interest paid
I = PRT T = 2 yr
1600 = 8000(2)R
1600 = 16000R
1600/16000 = 1/10 = .01 = 1%
What’s the slope m and y-intercept b of both these images?
Answers
Answer:
Slope = 1
y-intercept = 3
Step-by-step explanation:
Since, slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of the line passing through two points (0, 3) and (-3, 0) will be,
Slope = [tex]\frac{3-0}{0-(-3)}[/tex]
Slope = 1
y-intercept of the line = distance between the origin and point of intersection of the line with y-axis
y-intercept = 3
10) 3x + x + x + x - 3 - 2 = 7 + x + x
In the equation above, what is the value of x?
Answers
Answer:
Step-by-step explanation:
x=3
I'm begging you. Please help me. Its 12:23 at night and these are the last problems. I am BEGGING you. PLEASE don't steal these points, or put in a fake link.
Answers
Step-by-step explanation:
First answer I hope it will help
Identify the area of the composite shape.
71 cm squared
98 cm squared
34 cm squared
56 cm squared
Answers
Answer:
Option (1)
Step-by-step explanation:
Area of the composite figure ABCDEFGH = Area of rectangle ABGH - Area of rectangle CDEF
Area of rectangle ABGH = Length × Width
= 14 × 7
= 98 cm²
Area of rectangle CDEF = 9 × (7 - 4)
= 27 cm²
Area of the composite figure = 98 - 27
= 71 cm²
Option (1) is the correct option.
Write 16 exponentially two different ways
Answers
Answer:
2^4 or 4^2
Step-by-step explanation:
2^4= 2x2x2x2=16
4^2= 4x4=16
help me Please help me please help me please help me please
Answers
Answer:
second box is 5 and third bo is 40 and forth box is 0.25 I think! Sorry if it’s wrong!
Step-by-step explanation:
you divide them all by four.
Answer: the first blank would be 5 the second blank would be 40 and the last blank would be 4. The constant of proportionality is 4
f(x) = x2. What is g(x)?
Answers
Answer:
Step-by-step explanation:
x-2
4x^2 - 7x -2 = 0
PLEASE HELP! I WILL MARK AS BRAINLIEST!
Answers
Answer:
2,-1/4
you can use the calculator to find the answer .
depending on your calculator you can find it in different ways but the most common one that works on most of tge calculators is pressing mode button the press 5 then 3. then put a as tge coeffcient of x^2 and b as coefficient of x and c as the number without any x
solve 3(2x + 1) in standard form
Answers
= 6x +3
Hope this helps!! :)
Answer:
3(2x+1)= 6x+3
Step-by-step explanation:
Since all you do is multiply 3 and 2x and 3 and 1 which is 6x+3
Use the figure and information below to find the length of each line segment
7th grade math please help me
Answers
Answer:
7. 6
8. 6
9. 12
10. 6
11. 12
12. 24
Step-by-step explanation:
The length of each segment is AB = 6, BC = 6, AC = 12, CD = 6, CE = 12, AE = 24
What is the length?It is the measure of distance between the two points is called a length.
D is the mid-point of CE. Then
CD = DE = 6
B is the mid-point of AC. Then
AB = BC
C is the mid-point of AE. Then
AC = CE
AB + BC = CD + DE
AB + AB = CD + CD
2 AB = 2 CD
AB = CD
AB = 6
Then
AB = 6
BC = AB = 6
AC = AB + BC = 6 + 6 = 12
CD = DE = 6
CE = CD + DE = 6 + 6 = 12
AE = AB + BC + CD + DE = 6 + 6 + 6 + 6 = 24
More about the distance link is given below.
https://brainly.com/question/989117
What is the area of this figure
Answers
So you basically have to find the area as if it were a rectangle, which would be 19*13, which is 247. Then, you find the area of the corner taken out and subrtact it, so 3*4 is 12, and 247-12 is 235.
Saraid is dividing 14 pound of cashews into 5 plastic bags. What fraction of a pound of cashews will be in each plastic bag?
Answers
Answer:
Each bag gets 2 4/5 pounds of cashews
Step-by-step explanation:
14 ÷ 5 = 2.8
2.8 ( 2 4/5)
Simplify the ratio : 72:16:32
What is ans
Answers
Answer:
9 : 2 : 4
Step-by-step explanation:
Given
72 : 16 : 32 ( divide each part of the ratio by 8, the LCM of 72, 16, 32 )
= 9 : 2 : 4
Solve the system of linear equations by substitution.
6x - 9 = y
y=-3x
Answers
Point Form: ( 1 , − 3 )
Equation Form: x = 1 , y = − 3
Step-by-step explanation: Solve for the first variable in one of the equations, then substitute the result into the other equation.
Brainliest or a thank you please! have a great day/night
Equation form: x = 1 , y=-3
The angle which is less than 90 degrees is called?
A. Acute angle
B. Obtuse angle
C. Right angle
D. Straight angle
Answers
Answer:
An acute angle is an angle less than 90°
Answer:
A. Acute angle
Step-by-step explanation:
The angle which is less than 90 degrees is known as the acute angle.
Quadrilateral BCDE is similar to quadrilateral FGHI. Find the measure of side FG. Round your answer to the nearest tenth.
Answers
Answer:
The answer is below
Step-by-step explanation:
Two polygons are said to be similar to each other if they have the same shape as well as the ratio of their corresponding sides being equal to each other.
Since quadrilateral BCDE is similar to quadrilateral FGHI, hence the ratio of their corresponding sides is equal. Hence:
[tex]\frac{FG}{BC}= \frac{HI}{DE} \\\\substituting:\\\\\frac{FG}{8.3} =\frac{50}{11} \\\\FG=\frac{50*8.3}{11}\\\\FG=37.7\ to \ the\ nearest\ tenth[/tex]
radical form. ooooooooooo
Answers
Answer:
by using Pythagoras law
h²=p²+b²
7²=4²+b²
b²=49-16
b=√33=5.744
third side is 5.744
Answer:
missing length = 5.74
Step-by-step explanation:
[tex]a^{2} = c^{2} - b^{2}[/tex]
[tex]a^{2} = 7^{2} - 4^{2}[/tex]
[tex]a^{2} = 49 - 16[/tex]
[tex]a^{2} = 33[/tex]
[tex]\sqrt{a^{2} } = \sqrt{33}[/tex]
[tex]a = 5.74[/tex]
What is the surface area of the triangular prism?
A. 13 in.2
B. 36 in.2
C. 78 in.2
D. 84 in.2
Answers
Select the statement that can be represented by -10 dollars.
Answers
A supermarket has a length of 150 feet.the area of the supermarket is 1,350 feet squared.what is the width of the supermarket
Answers
Answer:
1,500
Step-by-step explanation:
Find the slope of the line that passes through each pair of points.
A(-6,1) B(2,1)
Answers
Answer:
Slope = undefined
Step-by-step explanation:
Use the formula:
m = y2 - y1 / x2 - x1
Plug in the given information
m = 1 - 1 / 2 - - 6
Negative + Negative = Positive
m = 1 - 1 / 2 + 6
m = 0 / 8
m = 0/8
m = undefined
1 MATH PROBLEM POINTS + BRAINIEST
